Mathematics 9709 · AS & A Level · Kinematics of motion in a straight line

Kinematics of motion in a straight line — practice question

Particles $P$ and $Q$ travel vertically while gravity acts on them. The graphs give the upward velocity $v\,\text{m s}^{-1}$ against time $t$ s for $0 \leq t \leq 4$. $P$ is projected with velocity $V\,\text{m s}^{-1}$, whereas $Q$ begins from rest.
(i)[2]

Find the value of $V$.

(ii)[1]

Find the speed with which $Q$ arrives at the ground.

(iii)[2]

Find the height of $Q$ above the ground when $t = 0$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: For applying $-g = (0 - V)/(2 - 0)$ or $0 = V - gt$

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